## Mathematics 0B1

 Unit code: MATH19801 Credit Rating: 10 Unit level: Level 1 Teaching period(s): Semester 1 Offered by School of Mathematics Available as a free choice unit?: N

None

#### Aims

The course unit unit aims to provide a basic course in calculus and algebra to students in Foundation studies with AS-level mathematics or equivalent.

#### Learning outcomes

Knowledge and understanding:Be familiar with simple algebra, functions, differentiation, integration and series

Intellectual skills:Be able to carry out routine operations involving the topics in the syllabus

Transferable skills and personal qualities:Have a set of tools and methods that can be applied in the courses given in the host department or in subsequent years.

#### Assessment methods

• Other - 30%
• Written exam - 70%

#### Assessment Further Information

Quizzes during tutorials in weeks 3, 5, 7, 9, 11. Best 4 marks taken. Weighting within unit 20%

Coursework : (week 10). Weighting within unit 10%

2 hour examination. Weighting within unit 70%

#### Syllabus

Seven lectures : Algebra and Functions.Functions and Inverse Functions. Polynomials, rational functions, trigonometric and inverse trigonometric, logarithms and exponentials. Solutions of quadratic, polynomial and trigonometric equations. Partial Fractions.

Five lectures: Differentiation. Definition. Standard Derivatives. Product, quotient and 'function of a function' rules. Stationary points. Higher derivatives.

Six lectures: Integration. Definition as reverse of differentiation. Definite integrals and areas under curves. Standard integrals. Integration by substitution (u=f(x)). Integration by parts. Integration by partial fractions.

Four lectures: Series.Arithmetic, geometric and binomial series. Infinite series and convergence. Taylor and Maclaurin series.

CROFT, A & DAVISON, R. 2010. Foundation Maths (5th ed.) Pearson Education, Harlow. (ISBN9780273730767)

BOSTOCK, L., & CHANDLER, S. 1981. Mathematics - the core course for A-level. Thornes, Cheltenham. (ISBN0859503062)

BOSTOCK, L., CHANDLER, S., & ROURKE, C. 1982. Further pure mathematics. Thornes, Cheltenham. (ISBN0859501035)

#### Study hours

• Lectures - 24 hours
• Tutorials - 11 hours
• Independent study hours - 65 hours

#### Teaching staff

Colin Steele - Unit coordinator